Answer:
1: equivalent
2: equivalent
3: not equivalent
Step-by-step explanation:
for 1 & 2, you just switch the terms, but for 3, the 6z is not negative in the first expression, but it is in the second.
<h3>
Answer: Choice B</h3>
The set notation includes all values from -5 to 0, but the domain only includes the integer values
eg: something like -1.2 is in the second set, but it is not in the set {-5,-4,-3,-2,-1}
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Further explanation:
Let's go through the answer choices one by one
- A. This is false because 0 does not come before -5, but instead -5 is listed first. The order -5,-4,-3,-2,-1,0 is correct meaning that
is the correct order as well. - B. This is true. A value like x = -1.2 is in the set
since -1.2 is between -5 and 0; but -1.2 is not in the set {-5, -4, -3, -2, -1, 0}. So the distinction is that we're either considering integers only or all real numbers in this interval. To ensure that we only look at integers, the student would have to write 
. The portion 
means "x is in the set of integers". The Z refers to the German word Zahlen, which translates to "numbers". - C. This is false. The student used the correct inequality signs to indicate x is -5 or larger and also 0 or smaller; basically x is between -5 and 0 inclusive of both endpoints. The "or equal to" portions indicate we are keeping the endpoints and not excluding them.
- D. This is false. Writing
would not make any sense. This is because that compound inequality breaks down into 
. Try to think of a number that is both smaller than -5 AND also larger than 0. It can't be done. No such number exists.
The answer is the first choice: 7, 15, 20.
When you want to know what three numbers can make up a triangle. All you have to do is take the first two numbers and add them up. If the sum is larger than the third number, it can form a triangle. If the sum of the first two numbers are smaller than the third number, it cannot form a triangle.
Hope this helped
Option B: 5 is the value of f(3)
Explanation:
The equation of the piecewise function is given by
We need to find the value of 
The value of the function f can be determined when 
by identifying in which interval does the value of lie in the piecewise function.
Thus, lies in the interval 
, the function f is given by
Substituting in the function , we get,
Thus, the value of is 5.
Therefore, Option B is the correct answer.
Answer:
-2
Step-by-step explanation:
Good luck! :)
